Everything pointed to Australia losing in Ranchi and heading into the series finale 2-1 down.
Cheteshwar Pujara's 202-run knock, unbeaten 178 runs by Steve Smith and Ravindra Jadeja's nine wickets from two innings were the most cherished moments of the intense Test.
Ravindra Jadeja celebrates with his teammates after dismissing Australian batsman David Warner during 4th day of 3rd Test Match in Ranchi on Sunday.
Earlier, Australia went wicket-less in the first two sessions of the day.
Marsh (53) and Handscomb (72 not out) saw out the remaining overs in the first session by the end of which Australia were placed at 83 for four. "Yesterday two wickets, we thought we had a good chance, but credit to the two batsmen [Marsh and Handscomb], they batted really well", Kohli said in a post match conference. "He's a quality bowler and I thought he bowled fantastically well". They didn't look like they would get out for a while. I'm really proud of them.
There's always a little bit of tension when Australia and India are playing in Test matches. Yes, he got six wickets in Bengaluru, but as the bowler himself said, that was more about pressure than him bowling unbelievably good deliveries. Not being able to take the field [due to a shoulder injury] and watching the opposition get big runs was hard.
Ranchi: Team India are hoping Virat Kohli is fit to bat after sustaining a shoulder injury on Day 1 of the Test 3.
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Who takes away the lead in this match is something we will have to wait and watch. It's one-all and we have the decider in Dharamshala, which is really exciting.
Applauding his players' desire to stand up and be counted, Kohli said: "Guys want to push the barrier, their physical limits, their mental toughness".
The duo forged the third highest partnership of the match - a match saving 124-run stand for the fifth wicket with India wasting one review.
"KL and M Vijay, but the partnership between Saha and Pujara is the best I have seen".
I'm sure all of the boys who batted out in the middle - Renshaw, Shaun and Handscomb - the three that did very well here. "Always smiling, always happy for whoever achieves anything". "I don't think it was the wicket, it was the ball, soft, not doing much", he added. I don't know the number of runs he has scored but he has contributed throughout. Not too often you spend 210 overs in the field.
Kohli never looked his usual self and took his time in an uncharacteristic slow innings as Australian spinners bowled in tandem to the Indian skipper.
The result also means that the series continue to be level at 1-1 and India will have to win the final Test in Dharamsala to reclaim the Border-Gavaskar Trophy from Australia.